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23393613482256 = 243312859758991
BaseRepresentation
bin1010101000110110000000…
…00001011000100100010000
310001211102000010221102202110
411110123000001120210100
511031240110022413011
6121430513324345320
74633063356461523
oct524330001304420
9101742003842673
1023393613482256
1174aa1a2a38876
122759a099a5240
131009015285494
145ac385052bba
152a87c548bba6
hex1546c0058910

23393613482256 has 120 divisors (see below), whose sum is σ = 62454177712512. Its totient is φ = 7545321235200.

The previous prime is 23393613482237. The next prime is 23393613482329. The reversal of 23393613482256 is 65228431639332.

It is a super-2 number, since 2×233936134822562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23393613482196 and 23393613482205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396532921 + ... + 396591911.

Almost surely, 223393613482256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23393613482256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31227088856256).

23393613482256 is an abundant number, since it is smaller than the sum of its proper divisors (39060564230256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23393613482256 is a wasteful number, since it uses less digits than its factorization.

23393613482256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67661 (or 67624 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 57.

The spelling of 23393613482256 in words is "twenty-three trillion, three hundred ninety-three billion, six hundred thirteen million, four hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 8597 11532 15376 17194 23064 25791 34388 46128 51582 58991 68776 103164 117982 137552 176973 206328 235964 266507 353946 412656 471928 533014 707892 799521 943856 1066028 1415784 1599042 1828721 2132056 2831568 3198084 3657442 4264112 5486163 6396168 7314884 8261717 10972326 12792336 14629768 16523434 21944652 24785151 29259536 33046868 43889304 49570302 56690351 66093736 87778608 99140604 113380702 132187472 170071053 198281208 226761404 340142106 396562416 453522808 507145627 680284212 907045616 1014291254 1360568424 1521436881 2028582508 2721136848 3042873762 4057165016 6085747524 8114330032 12171495048 15721514437 24342990096 31443028874 47164543311 62886057748 94329086622 125772115496 188658173244 251544230992 377316346488 487366947547 754632692976 974733895094 1462100842641 1949467790188 2924201685282 3898935580376 5848403370564 7797871160752 11696806741128 23393613482256